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Finding the Fourth Proportional to 9,649.87, 14,454.69 and 7,765.61

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Solution

The fourth proportional to 9,649.87, 14,454.69 and 7,765.61 is: 11,632.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,649.87 : 14,454.69 = 7,765.61 : x
  2. Step 2: Convert to fraction form
    9,649.87/14,454.69 = 7,765.61/x
  3. Step 3: Cross multiply
    9,649.87x = 14,454.69 × 7,765.61
  4. Step 4: Simplify right side
    9,649.87x = 112,249,383.82
  5. Step 5: Solve for x
    x = 112,249,383.82/9,649.87
  6. Step 6: Final answer
    x = 11,632.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.